2. Question

Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?

136

128

164

214

None of these

Correct

Let the maximum mark in each test be M. The candidate failed by 36 marks in the second test. pass mark in the second test = 216 + 36 = 252 45/100 M = 252 Pass mark in the first test = 40/100 M = 40/45 * 252 = 224.

Incorrect

Let the maximum mark in each test be M. The candidate failed by 36 marks in the second test. pass mark in the second test = 216 + 36 = 252 45/100 M = 252 Pass mark in the first test = 40/100 M = 40/45 * 252 = 224.

Question 3 of 50

3. Question

In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?

7. Question

What percentage of numbers from 1 to 70 have squares that end in the digit 1?

1

14

20

21

Correct

Clearly, the numbers which have 1 or 9 in the unit’s digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such numbers = 14. Required percentage = (14/70 * 100) = 20%

Incorrect

Clearly, the numbers which have 1 or 9 in the unit’s digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such numbers = 14. Required percentage = (14/70 * 100) = 20%

11. Question

The least number of four digits which is divisible by 4, 6, 8 and 10 is?

1080

1085

1075

1095

Correct

LCM = 120 120) 1000 (8 960 ——- 40 1000 + 120 – 40 = 1080

Incorrect

LCM = 120 120) 1000 (8 960 ——- 40 1000 + 120 – 40 = 1080

Question 12 of 50

12. Question

The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?

7 months

10 months

9 months

11 months

Correct

7*5: 5*x = 7:10 x = 10

Incorrect

7*5: 5*x = 7:10 x = 10

Question 13 of 50

13. Question

There are some rabbits and peacocks in a zoo. The total number of their heads is 60 and total number of their legs is 192. Find the number of total rabbits?

30

46

40

44

None of these

Correct

Let the number of rabbits and peacocks be ‘r’ and ‘p’ respectively. As each animal has only one head, so r + p = 60 — (1) Each rabbit has 4 legs and each peacock has 2 legs. Total number of legs of rabbits and peacocks, 4r + 2p = 192 — (2) Multiplying equation (1) by 2 and subtracting it from equation (2), we get => 2r = 72 => r = 36.

Incorrect

Let the number of rabbits and peacocks be ‘r’ and ‘p’ respectively. As each animal has only one head, so r + p = 60 — (1) Each rabbit has 4 legs and each peacock has 2 legs. Total number of legs of rabbits and peacocks, 4r + 2p = 192 — (2) Multiplying equation (1) by 2 and subtracting it from equation (2), we get => 2r = 72 => r = 36.

Question 14 of 50

14. Question

A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?

Rs.3750

Rs.3000

Rs.3200

Rs.2160

Correct

60*5:36*6:75*3 100: 72: 75 100/247 * 7410 = 3000

Incorrect

60*5:36*6:75*3 100: 72: 75 100/247 * 7410 = 3000

Question 15 of 50

15. Question

The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?

3

4

5

6

Correct

4.5 4.5 30% 70% 30% —– 4.5 70% ——? => 10.5 – 4.5 = 6 ml

Incorrect

4.5 4.5 30% 70% 30% —– 4.5 70% ——? => 10.5 – 4.5 = 6 ml

Question 16 of 50

16. Question

A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?

22. Question

A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?

4% p.a.

6% p.a.

8% p.a.

12% p.a.

None of these

Correct

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate. Let the earlier rate of interest be x%. Now it will be (x + 3)% % increase = (x + 3) – x/x * 100 = 25 => x = 12

Incorrect

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate. Let the earlier rate of interest be x%. Now it will be (x + 3)% % increase = (x + 3) – x/x * 100 = 25 => x = 12

Question 23 of 50

23. Question

The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.

0 sq m

3 sq m

2 sq m

6 sq m

Correct

S = (1 + 2 + 3)/2 = 3 => No triangle exists

Incorrect

S = (1 + 2 + 3)/2 = 3 => No triangle exists

Question 24 of 50

24. Question

Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?

225 sq.m

360 sq.m

720 sq.m

480 sq.m

None of these

Correct

Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals

25. Question

All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?

648

888

928

1184

None of these

Correct

B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k. Quantity of water in B = 8k – 5k = 3k. Quantity of water in container C = 8k – 3k = 5k Container: A B C Quantity of water: 8k 3k 5k It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water. 5k – 148 = 3k + 148 => 2k = 296 => k = 148 The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.

Incorrect

B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k. Quantity of water in B = 8k – 5k = 3k. Quantity of water in container C = 8k – 3k = 5k Container: A B C Quantity of water: 8k 3k 5k It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water. 5k – 148 = 3k + 148 => 2k = 296 => k = 148 The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.

Question 26 of 50

26. Question

The G.C.D of 1.08, 0.36 and 0.9 is

0.03

0.9

0.18

0.108

Correct

Given numbers are 1.08, 0.36 and 0.90. H.C.F of 108, 36 and 90 is 18. H.C.F of a given numbers = 0.18

Incorrect

Given numbers are 1.08, 0.36 and 0.90. H.C.F of 108, 36 and 90 is 18. H.C.F of a given numbers = 0.18

Question 27 of 50

27. Question

Find the one which does not belong to that group ?

Indian

Japanian

American

Brazilian

Russian

Correct

Except Japanian, all others are appropriate usage of citizenship.

Incorrect

Except Japanian, all others are appropriate usage of citizenship.

Question 28 of 50

28. Question

If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?

650 m

600 m

200 m

300 m

Correct

2(l + 100) = 600 => l = 200 m

Incorrect

2(l + 100) = 600 => l = 200 m

Question 29 of 50

29. Question

A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.

20/31

20/63

5/31

6/31

Correct

Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63

Incorrect

Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63

Question 30 of 50

30. Question

The curved surface of a sphere is 64 π cm2. Find its radius?

1 cm

2 cm

4 cm

3 cm

Correct

4 πr2 = 64 => r = 4

Incorrect

4 πr2 = 64 => r = 4

Question 31 of 50

31. Question

P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?

16 days

20 days

17 days

12 days

Correct

P = 3Q P + Q = 3Q + Q = 4Q These 4Q people can do the work in 12 days, which means Q can do the work in 48 days. Hence, P can do the work in 16 days.

Incorrect

P = 3Q P + Q = 3Q + Q = 4Q These 4Q people can do the work in 12 days, which means Q can do the work in 48 days. Hence, P can do the work in 16 days.

Question 32 of 50

32. Question

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?

1994

1494

1349

1496

Correct

LCM = 1400 1400 – 6 = 1394

Incorrect

LCM = 1400 1400 – 6 = 1394

Question 33 of 50

33. Question

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is?

43. Question

Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?